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To keep 1,000 laying hens under Soil Association's organic standards require the producer to provide 1 hectare of land for where the hens will actually be kept at night and also requires that they have access to an additional 3.34 hectares of organic land on which to feed and roam so that the nitrogen limit is not exceeded.
Thus to keep your chickens humanly you will need 1/10 of this area 4.34/10 = 0.434 hectares.
0.434 hectare = 4,340 square meters
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